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Introduction to Algebra Linear Equations and Inequalities Functions and Graphs I Lines and thier Graphs Linear Systems Exponents & Polynomials
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Calculus I
Limits and Continuity Derivatives Analysis of Curves Antiderivatives
Calculus II
Transcendental Functions
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Calculus III

Course: Calculus I
Topic: Antiderivatives
Subtopic: Electronic Evaluation of Riemann Sums and Definite Integrals

Overview

Once you are able to set-up an integral that will calculate the approximate area under a curve via a Riemann Sum or the exact area under a curve via a definite integral, then it makes sense to take advantage of technology to evaluate that integral or at least verify your answer.

Objectives

By the end of this topic you should know and be prepared to be tested on:

• 4.3.1 Evaluate a definite integral electronically
• 4.3.2 Compute a Riemann Sum electronically

Mini-Lectures and Examples

Supplemental Resources (recommended)

For evaluating a definite integral electronically, if you have a Texas Instruments handheld graphing calculator then this site may help:

Computing a Riemann Sum electronically is highly dependent on your grapher/software. If you have a Texas instruments handheld graphing calculator then these sites may help:

To compute Riemann sums electronically online explore a Riemann Sum Calculator. It is strongly recommended that you explore a variety of functions, left/right/midpoint rectangles, and number of rectangles via a Riemann Sums calculator. One I recommend because it is simple, accurate, and user-friendly is Wolfram Mathworld's Riemann Sum widget.

There are others online you might prefer including:
Desmos' Riemann Sums
GeoGebra Calculus' Riemann Sums
Wolfram Alpha's Riemann Sums calculator

rev. 2020-11-16